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Finding the Fourth Proportional to 2,960.92, 4,437.14 and 2,174.75

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Solution

The fourth proportional to 2,960.92, 4,437.14 and 2,174.75 is: 3,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.92 : 4,437.14 = 2,174.75 : x
  2. Step 2: Convert to fraction form
    2,960.92/4,437.14 = 2,174.75/x
  3. Step 3: Cross multiply
    2,960.92x = 4,437.14 × 2,174.75
  4. Step 4: Simplify right side
    2,960.92x = 9,649,659.34
  5. Step 5: Solve for x
    x = 9,649,659.34/2,960.92
  6. Step 6: Final answer
    x = 3,259.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.